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Finding the Fourth Proportional to 843.18, 1,162.32 and 593.80

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Solution

The fourth proportional to 843.18, 1,162.32 and 593.80 is: 818.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.18 : 1,162.32 = 593.80 : x
  2. Step 2: Convert to fraction form
    843.18/1,162.32 = 593.80/x
  3. Step 3: Cross multiply
    843.18x = 1,162.32 × 593.80
  4. Step 4: Simplify right side
    843.18x = 690,185.62
  5. Step 5: Solve for x
    x = 690,185.62/843.18
  6. Step 6: Final answer
    x = 818.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.